Approximating solutions for the systems of strongly accretive operator equations

DOI10.1016/j.camwa.2006.08.039zbMath1131.47310OpenAlexW2058177485MaRDI QIDQ2373821

Somyot Plubtieng, Issara Inchan

Publication date: 16 July 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.08.039

zbMATH Keywords

common fixed pointIshikawa iterationMann iterationstrongly accretive operatoruniformly smooth Banach spacemultistep iteration

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Convergence theorem for the common solution for a finite family of \(\phi\)-strongly accretive operator equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• Convergence theorems for strongly pseudo-contractive and strongly accretive maps
• Iterative solutions to nonlinear equations of strongly accretive operators in Banach spaces
• An iterative process for nonlinear Lipschitzian and strongly accretive mappings in uniformly convex and uniformly smooth Banach spaces
• Ishikawa and Mann iteration methods with errors for nonlinear equations of the accretive type
• Three-step iterations for nonlinear accretive operator equations
• Ishikawa iteration process for nonlinear Lipschitz strongly accretive mappings
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Iterative solution of nonlinear equations of the \(\Phi\)-strongly accretive type
• Strong convergence theorems for multi-step Noor iterations with errors in Banach spaces
• Nonlinear semigroups and evolution equations
• Differential Equations on Closed Subsets of a Banach Space
• Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
• Approximation of Fixed Points of Strongly Pseudocontractive Mappings
• Approximation of fixed points of strongly pseudocontractive maps without Lipschitz assumption
• Iterative approximation of Lipschitz strictly pseudocontractive mappings in uniformly smooth Banach spaces
• Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
• Nonlinear mappings of nonexpansive and accretive type in Banach spaces
• Mean Value Methods in Iteration
• Three-step iterative algorithms for multivalued quasi variational inclusions

This page was built for publication: Approximating solutions for the systems of strongly accretive operator equations